Allegri is keen to bolster Milan's defence in light of Sunday's 4-4 draw with Udinese.

Earlier this week Genoa President Enrico Preziosi said Criscito is 99 per cent staying in Genoa, partly because they have already sold a key component of their defence in Andrea Ranocchia and don't want to have to completely rebuild their backline in January.

However, Milan have a very good relationship with Genoa, as became apparent in the deal that took Kevin-Prince Boateng to San Siro.